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Peer-Review Record

General Properties on Differential Sets of a Graph

Reviewer 1: Geneviève Simonet
Reviewer 2: Anonymous
Received: 4 August 2021 / Revised: 5 October 2021 / Accepted: 11 October 2021 / Published: 20 October 2021

Round 1

Reviewer 1 Report

see attached file

Comments for author File: Comments.pdf

Author Response

Please see the attachment

Author Response File: Author Response.pdf

Reviewer 2 Report

In the proposed paper the authors investigate the β-differential of a graph G. Some upper and lower bounds for β-differential are given in terms of order |G|, minimum degree, maximum degree and other invariants of G. Also, the β-differential for graphs with weighted vertices is studied.

The manuscript is well organized, the content of the research is interesting. The results look correct, no major errors are noticed. What I really miss, however, throughout the whole article, are some examples and also figures of graphs with calculated invariants.

Some minor comments are described in the attached file.

The manuscript seems interesting and original, is a well-written paper, which I believe will be of interest to many researchers. Therefore I recommend that it be (with some minor corrections) accepted for publication in Axioms.

Comments for author File: Comments.pdf

Author Response

Please see the attachment

Author Response File: Author Response.pdf

Round 2

Reviewer 1 Report

see attached file

Comments for author File: Comments.pdf

Author Response

We thank the referee for the thoughtful and careful evaluation of our manuscript and the valuable comments and suggestions.

Here is included a complete list of answers given to each of the reviewer’s comments:

Author Response File: Author Response.pdf

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